ON SOFT MULTI GENERALIZED CLOSED SETS

Main Article Content

ALKAN ÖZKAN

Abstract

The purpose of this study is to continue the endeavor of soft multi generalized closed (briey, smg- closed) sets introduced by A. Ozkan [1]. In the beginning, we explain some definitions and vital conclusion under soft multi set theory. Then, the soft separation axioms on soft multi generalized sets, i.e soft mTi (i = 0, 1, 2, 3, 4) was introduced and its properties were investigated. Later, the concept of soft multi generalized closed set with its some theories and corollaries were presented. Lastly, since this concept is not only a natural generalization of soft multi closed sets, the studies of soft multi generalized closed sets caused the emergence of several new properties in soft multi topological spaces. One of them between the spaces of mT0- and mT1-, for example, mT1/2 –space which lower separation axiom weaker than. This axiom was introduced and its properties were investigated.

Keywords:
Soft multi sets, soft multi topological spaces, soft multi generalized closed (open) sets, soft mTi − (i = 0, 1/2 , 1, 2, 3, 4)-Spaces

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How to Cite
ÖZKAN, A. (2018). ON SOFT MULTI GENERALIZED CLOSED SETS. Asian Journal of Mathematics and Computer Research, 25(6), 353-366. Retrieved from http://ikpress.org/index.php/AJOMCOR/article/view/4259
Section
Original Research Article